#include "sofa.h" #include "sofam.h" int iauTdbtcb(double tdb1, double tdb2, double *tcb1, double *tcb2) /* ** - - - - - - - - - - ** i a u T d b t c b ** - - - - - - - - - - ** ** Time scale transformation: Barycentric Dynamical Time, TDB, to ** Barycentric Coordinate Time, TCB. ** ** This function is part of the International Astronomical Union's ** SOFA (Standards of Fundamental Astronomy) software collection. ** ** Status: canonical. ** ** Given: ** tdb1,tdb2 double TDB as a 2-part Julian Date ** ** Returned: ** tcb1,tcb2 double TCB as a 2-part Julian Date ** ** Returned (function value): ** int status: 0 = OK ** ** Notes: ** ** 1) tdb1+tdb2 is Julian Date, apportioned in any convenient way ** between the two arguments, for example where tdb1 is the Julian ** Day Number and tdb2 is the fraction of a day. The returned ** tcb1,tcb2 follow suit. ** ** 2) The 2006 IAU General Assembly introduced a conventional linear ** transformation between TDB and TCB. This transformation ** compensates for the drift between TCB and terrestrial time TT, ** and keeps TDB approximately centered on TT. Because the ** relationship between TT and TCB depends on the adopted solar ** system ephemeris, the degree of alignment between TDB and TT over ** long intervals will vary according to which ephemeris is used. ** Former definitions of TDB attempted to avoid this problem by ** stipulating that TDB and TT should differ only by periodic ** effects. This is a good description of the nature of the ** relationship but eluded precise mathematical formulation. The ** conventional linear relationship adopted in 2006 sidestepped ** these difficulties whilst delivering a TDB that in practice was ** consistent with values before that date. ** ** 3) TDB is essentially the same as Teph, the time argument for the ** JPL solar system ephemerides. ** ** Reference: ** ** IAU 2006 Resolution B3 ** ** This revision: 2021 May 11 ** ** SOFA release 2021-05-12 ** ** Copyright (C) 2021 IAU SOFA Board. See notes at end. */ { /* 1977 Jan 1 00:00:32.184 TT, as two-part JD */ static const double t77td = DJM0 + DJM77; static const double t77tf = TTMTAI/DAYSEC; /* TDB (days) at TAI 1977 Jan 1.0 */ static const double tdb0 = TDB0/DAYSEC; /* TDB to TCB rate */ static const double elbb = ELB/(1.0-ELB); double d, f; /* Result, preserving date format but safeguarding precision. */ if ( fabs(tdb1) > fabs(tdb2) ) { d = t77td - tdb1; f = tdb2 - tdb0; *tcb1 = tdb1; *tcb2 = f - ( d - ( f - t77tf ) ) * elbb; } else { d = t77td - tdb2; f = tdb1 - tdb0; *tcb1 = f - ( d - ( f - t77tf ) ) * elbb; *tcb2 = tdb2; } /* Status (always OK). */ return 0; /* Finished. */ /*---------------------------------------------------------------------- ** ** Copyright (C) 2021 ** Standards Of Fundamental Astronomy Board ** of the International Astronomical Union. ** ** ===================== ** SOFA Software License ** ===================== ** ** NOTICE TO USER: ** ** BY USING THIS SOFTWARE YOU ACCEPT THE FOLLOWING SIX TERMS AND ** CONDITIONS WHICH APPLY TO ITS USE. ** ** 1. The Software is owned by the IAU SOFA Board ("SOFA"). ** ** 2. Permission is granted to anyone to use the SOFA software for any ** purpose, including commercial applications, free of charge and ** without payment of royalties, subject to the conditions and ** restrictions listed below. ** ** 3. You (the user) may copy and distribute SOFA source code to others, ** and use and adapt its code and algorithms in your own software, ** on a world-wide, royalty-free basis. That portion of your ** distribution that does not consist of intact and unchanged copies ** of SOFA source code files is a "derived work" that must comply ** with the following requirements: ** ** a) Your work shall be marked or carry a statement that it ** (i) uses routines and computations derived by you from ** software provided by SOFA under license to you; and ** (ii) does not itself constitute software provided by and/or ** endorsed by SOFA. ** ** b) The source code of your derived work must contain descriptions ** of how the derived work is based upon, contains and/or differs ** from the original SOFA software. ** ** c) The names of all routines in your derived work shall not ** include the prefix "iau" or "sofa" or trivial modifications ** thereof such as changes of case. ** ** d) The origin of the SOFA components of your derived work must ** not be misrepresented; you must not claim that you wrote the ** original software, nor file a patent application for SOFA ** software or algorithms embedded in the SOFA software. ** ** e) These requirements must be reproduced intact in any source ** distribution and shall apply to anyone to whom you have ** granted a further right to modify the source code of your ** derived work. ** ** Note that, as originally distributed, the SOFA software is ** intended to be a definitive implementation of the IAU standards, ** and consequently third-party modifications are discouraged. All ** variations, no matter how minor, must be explicitly marked as ** such, as explained above. ** ** 4. You shall not cause the SOFA software to be brought into ** disrepute, either by misuse, or use for inappropriate tasks, or ** by inappropriate modification. ** ** 5. The SOFA software is provided "as is" and SOFA makes no warranty ** as to its use or performance. SOFA does not and cannot warrant ** the performance or results which the user may obtain by using the ** SOFA software. SOFA makes no warranties, express or implied, as ** to non-infringement of third party rights, merchantability, or ** fitness for any particular purpose. In no event will SOFA be ** liable to the user for any consequential, incidental, or special ** damages, including any lost profits or lost savings, even if a ** SOFA representative has been advised of such damages, or for any ** claim by any third party. ** ** 6. The provision of any version of the SOFA software under the terms ** and conditions specified herein does not imply that future ** versions will also be made available under the same terms and ** conditions. * ** In any published work or commercial product which uses the SOFA ** software directly, acknowledgement (see www.iausofa.org) is ** appreciated. ** ** Correspondence concerning SOFA software should be addressed as ** follows: ** ** By email: sofa@ukho.gov.uk ** By post: IAU SOFA Center ** HM Nautical Almanac Office ** UK Hydrographic Office ** Admiralty Way, Taunton ** Somerset, TA1 2DN ** United Kingdom ** **--------------------------------------------------------------------*/ }